00:01
So we have this kind of nice curve.
00:03
It's given to you as negative x squared plus 10x.
00:10
And when you're asked to write it in standard form, there's a few steps you need to do.
00:16
What i like to do is factor out in negative.
00:18
So we're looking at x squared minus 10x and then just put a blank right here.
00:24
And so what you do now is take half of this number squared, negative 5, squared is 25.
00:33
And really because we are putting in negative 25 there, we have to keep it equivalent by adding 25.
00:41
So the reason why this works is because now we have a perfect square trinomial at the factors of 25.
00:48
That add to be negative 10 are negative 5 and negative 5.
00:51
So write that one squared plus 25.
00:54
So there's your first answer.
00:58
And what that tells me then is my vertex.
01:01
I'll give that one right here is positive 5.
01:04
Positive 25.
01:06
I actually would do the x intercepts based off of factoring out an x here and it could even be a negative x...